Publications of Anatoly S. Libgober
\it {T}opology of algebraic curves [book review of \refcno 2952675].
Bull. Amer. Math. Soc. (N.S.),
51(3):479--489, 2014.
MR3196796
Depth of cohomology support loci for quasi-projective varieties via orbifold pencils.
Rev. Mat. Iberoam.,
30(2):373--404, 2014.
MR3231202
On Mordell-Weil groups of isotrivial abelian varieties over function fields.
Math. Ann.,
357(2):605--629, 2013.
MR3096519
Factors of Jacobians and isotrivial elliptic surfaces.
J. Singul.,
5:115--123, 2012.
MR2928938
On combinatorial invariance of the cohomology of the Milnor fiber of arrangements and the Catalan equation over function fields.
In Arrangements of hyperplanes---Sapporo 2009,
pages 175--187. Math. Soc. Japan, Tokyo, 2012.
MR2933797
Characters of fundamental groups of curve complements and orbifold pencils.
In Configuration spaces,
pages 81--109. Ed. Norm., Pisa, 2012.
MR3203636
Topology of algebraic varieties and singularities, volume 538 of Contemporary Mathematics.
American Mathematical Society, Providence, RI, 2011.
MR2777813
Development of the theory of Alexander invariants in algebraic geometry.
In Topology of algebraic varieties and singularities,
pages 3--17. Amer. Math. Soc., Providence, RI, 2011.
MR2777814
Elliptic genera, real algebraic varieties and quasi-Jacobi forms.
In Topology of stratified spaces,
pages 95--120. Cambridge Univ. Press, Cambridge, 2011.
MR2796409
Multivariable Hodge theoretical invariants of germs of plane curves.
J. Knot Theory Ramifications,
20(6):787--805, 2011.
MR2812263
Sequences of LCT-polytopes.
Math. Res. Lett.,
18(4):733--746, 2011.
MR2831838
Topology of stratified spaces, volume 58 of Mathematical Sciences Research Institute Publications.
Cambridge University Press, Cambridge, 2011.
MR2850064
Hodge polynomials of singular hypersurfaces.
Michigan Math. J.,
60(3):661--673, 2011.
MR2861093
Non vanishing loci of Hodge numbers of local systems.
Manuscripta Math.,
128(1):1--31, 2009.
MR2470184
Hodge genera of algebraic varieties. II.
Math. Ann.,
345(4):925--972, 2009.
MR2545873
Cohomology of bundles on homological Hopf manifolds.
Sci. China Ser. A,
52(12):2688--2698, 2009.
MR2577183
Elliptic genera, quasi-jacobi forms and real algebraic varieties..
2009.
Hodge theoretical invariants of germs of plane algebraic curves i..
2009.
Hodge polynomials of singular hypersurfaces.
2009.
Hodge genera and characteristic classes of complex algebraic varieties.
Electron. Res. Announc. Math. Sci.,
15:1--7, 2008.
MR2372895
Higher elliptic genera.
Math. Res. Lett.,
15(3):511--520, 2008.
MR2407227
Local topology of reducible divisors.
In Real and complex singularities,
pages 99--111. Birkhäuser, Basel, 2007.
MR2280134
Problems in topology of the complements to plane singular curves.
In Singularities in geometry and topology,
pages 370--387. World Sci. Publ., Hackensack, NJ, 2007.
MR2311493
Lectures on topology of complements and fundamental groups.
In Singularity theory,
pages 71--137. World Sci. Publ., Hackensack, NJ, 2007.
MR2342909
Hodge genera of algebraic varieties II.
Mathematische Annalen,
, 2007.
Discrete torsion, orbifold elliptic genera and the chiral de Rham complex.
Pure Appl. Math. Q.,
2(4, part 2):1217--1236, 2006.
MR2282419
Regular functions transversal at infinity.
Tohoku Math. J. (2),
58(4):549--564, 2006.
MR2297199
Homotopy groups of complements to ample divisors.
In Singularity theory and its applications,
pages 179--204. Math. Soc. Japan, Tokyo, 2006.
MR2325138
McKay correspondence for elliptic genera.
Ann. of Math. (2),
161(3):1521--1569, 2005.
MR2180406
Counting rational maps onto surfaces and fundamental groups.
Internat. J. Math.,
15(7):673--690, 2004.
MR2085099
Isolated non-normal crossings.
In Real and complex singularities,
pages 145--160. Amer. Math. Soc., Providence, RI, 2004.
MR2087810
Elliptic genera of singular varieties.
Duke Math. J.,
116(2):319--351, 2003.
MR1953295
Generalizations of the odd degree theorem and applications.
Israel J. Math.,
136:353--371, 2003.
MR1998117
Zariski-van Kampen theorem for higher-homotopy groups.
J. Inst. Math. Jussieu,
2(4):495--527, 2003.
MR2006797
Generalization of odd degree theorem and applications.
Israel Journal of Mathematics,
136:353--371, 2003.
Zariski van kampen theorem for homotopy groups.
Mathematics Journal Jusseux,
2:495--527, 2003.
First order deformations for rank one local systems with a non-vanishing cohomology.
Topology Appl.,
118(1-2):159--168, 2002.
MR1877722
Hodge decomposition of Alexander invariants.
Manuscripta Math.,
107(2):251--269, 2002.
MR1894743
Homotopy groups of complements and nonisolated singularities.
Int. Math. Res. Not.,
17:871--888, 2002.
MR1899905
Trends in singularities, Trends in Mathematics.
Birkhäuser Verlag, Basel, 2002.
MR1900778
Eigenvalues for the monodromy of the Milnor fibers of arrangements.
In Trends in singularities,
pages 141--150. Birkhäuser, Basel, 2002.
MR1900784
Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex.
In Mirror symmetry, IV (Montreal, QC, 2000),
pages 325--342. Amer. Math. Soc., Providence, RI, 2002.
MR1969036
Eigenvalues for monodromy of the milnor fibers of arrangements.
In Trends in singularities,
pages 141--150. Birkhauser, 2002.
Elliptic genera of singular varieties, orbifold elliptic genus and chiral derham complex.
In Ams/ip studies in advanced math,
pages 325--342. 2002.
First order deformations of local systems of rank one.
Topology and Applications,
118:159--168, 2002.
Homotopy groups of the complements and non isolated singularities.
Internatinoal Mathematical Research Notices,
17:871--888, 2002.
Characteristic varieties of algebraic curves.
In Applications of algebraic geometry to coding theory, physics and computation (Eilat, 2001),
pages 215--254. Kluwer Acad. Publ., Dordrecht, 2001.
MR1866902
Elliptic genera of toric varieties and applications to mirror symmetry.
Invent. Math.,
140(2):453--485, 2000.
MR1757003
Cohomology of the Orlik-Solomon algebras and local systems.
Compositio Math.,
121(3):337--361, 2000.
MR1761630
Cohomology of local systems.
In Arrangements---Tokyo 1998,
pages 169--184. Kinokuniya, Tokyo, 2000.
MR1796899
Chern classes and the periods of mirrors.
Math. Res. Lett.,
6(2):141--149, 1999.
MR1689204
Abelian branched covers of projective plane.
In Singularity theory (Liverpool, 1996),
pages xxi, 281--289. Cambridge Univ. Press, Cambridge, 1999.
MR1709358
Singularities and complex geometry, volume 5 of AMS/IP Studies in Advanced Mathematics.
American Mathematical Society, Providence, RI, 1997.
MR1468264
The topology of complements to hypersurfaces and nonvanishing of a twisted de Rham cohomology.
In Singularities and complex geometry (Beijing, 1994),
pages 116--130. Amer. Math. Soc., Providence, RI, 1997.
MR1468273
Differential forms on complete intersections and a related quotient module.
In Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry (Ramat Gan, 1993), volume 9 of Israel Math. Conf. Proc.,
pages 295--305. Bar-Ilan Univ., Ramat Gan, 1996.
MR1360510
Automorphisms of desingularizations of quotients and equivariant McKay correspondence.
C. R. Acad. Sci. Paris Sér. I Math.,
323(8):907--912, 1996.
MR1414556
Position of singularities of hypersurfaces and the topology of their complements.
J. Math. Sci.,
82(1):3194--3210, 1996.
MR1423636
On the zeta function of monodromy of a polynomial map.
Compositio Math.,
95(3):287--307, 1995.
MR1318089
Homotopy groups of the complements to singular hypersurfaces. II.
Ann. of Math. (2),
139(1):117--144, 1994.
MR1259366
Groups which cannot be realized as fundamental groups of the complements to hypersurfaces in ${\bf C}^ N$.
In Algebraic geometry and its applications (West Lafayette, IN, 1990),
pages 203--207. Springer, New York, 1994.
MR1272031
Lines on Calabi-Yau complete intersections, mirror symmetry, and Picard-Fuchs equations.
Internat. Math. Res. Notices,
1:29--39, 1993.
MR1201748
Topological invariants of affine hypersurfaces: connectivity, ends, and signature.
Duke Math. J.,
70(1):207--227, 1993.
MR1214661
On the homology of finite abelian coverings.
Topology Appl.,
43(2):157--166, 1992.
MR1152316
Erratum: ``An obstruction to smoothing of Gorenstein surface singularities'' [Comment. Math. Helv. 65 (1990), no. 3, 413--433; MR1069817 (91m:14005)].
Comment. Math. Helv.,
67(4):670, 1992.
MR1185815
On topological complexity of solving polynomial equations of special type.
In Transactions of the Seventh Army Conference on Applied Mathematics and Computing (West Point, NY, 1989),
pages 475--478. U.S. Army Res. Office, Research Triangle Park, NC, 1990.
MR1057848
Uniqueness of the complex structure on Kähler manifolds of certain homotopy types.
J. Differential Geom.,
32(1):139--154, 1990.
MR1064869
An obstruction for smoothing of Gorenstein surface singularities.
Comment. Math. Helv.,
65(3):413--433, 1990.
MR1069817
Invariants of plane algebraic curves via representations of the braid groups.
Invent. Math.,
95(1):25--30, 1989.
MR969412
Braids, volume 78 of Contemporary Mathematics.
American Mathematical Society, Providence, RI, 1988.
MR975074
On divisibility properties of braids associated with algebraic curves.
In Braids (Santa Cruz, CA, 1986),
pages 387--398. Amer. Math. Soc., Providence, RI, 1988.
MR975090
Theta characteristics on singular curves, spin structures and Rohlin theorem.
Ann. Sci. École Norm. Sup. (4),
21(4):623--635, 1988.
MR982336
On $\pi_ 2$ of the complements to hypersurfaces which are generic projections.
In Complex analytic singularities,
pages 229--240. North-Holland, Amsterdam, 1987.
MR894296
Fundamental groups of the complements to plane singular curves.
In Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985),
pages 29--45. Amer. Math. Soc., Providence, RI, 1987.
MR927972
On the homotopy type of the complement to plane algebraic curves.
J. Reine Angew. Math.,
367:103--114, 1986.
MR839126
Remarks on moduli spaces of complete intersections.
In The Lefschetz centennial conference, Part I (Mexico City, 1984),
pages 183--194. Amer. Math. Soc., Providence, RI, 1986.
MR860413
Homotopy groups of the complements to singular hypersurfaces.
Bull. Amer. Math. Soc. (N.S.),
13(1):49--52, 1985.
MR788390
A characterization of plane curve singularities with one characteristic pair.
Amer. J. Math.,
106(2):505--507, 1984.
MR737782
Differentiable structures on complete intersections. II.
In Singularities, Part 2 (Arcata, Calif., 1981),
pages 123--133. Amer. Math. Soc., Providence, RI, 1983.
MR713241
Alexander invariants of plane algebraic curves.
In Singularities, Part 2 (Arcata, Calif., 1981),
pages 135--143. Amer. Math. Soc., Providence, RI, 1983.
MR713242
Alexander modules of plane algebraic curves.
In Low-dimensional topology (San Francisco, Calif., 1981),
pages 231--247. Amer. Math. Soc., Providence, R.I., 1983.
MR718145
Differentiable structures on complete intersections. I.
Topology,
21(4):469--482, 1982.
MR670748
Alexander polynomial of plane algebraic curves and cyclic multiple planes.
Duke Math. J.,
49(4):833--851, 1982.
MR683005
On the topological structure of even-dimensional complete intersections.
Trans. Amer. Math. Soc.,
267(2):637--660, 1981.
MR626495
Algebraic geometry, volume 862 of Lecture Notes in Mathematics.
Springer, Berlin, 1981.
MR644815
On the fundamental group of the complement to a discriminant variety.
In Algebraic geometry (Chicago, Ill., 1980),
pages 1--25. Springer, Berlin, 1981.
MR644816
Diffeomorphic complete intersections with different multidegrees.
Bull. Amer. Math. Soc. (N.S.),
2(3):459--461, 1980.
MR561533
Some properties of the signature of complete intersections.
Proc. Amer. Math. Soc.,
79(3):373--375, 1980.
MR567975
Congruences modulo powers of $2$ for the signature of complete intersections.
Quart. J. Math. Oxford Ser. (2),
31(122):209--218, 1980.
MR576338
Levine's formula in knot theory and quadratic reciprocity law.
Enseign. Math. (2),
26(3-4):323--331 (1981), 1980.
MR610530
On the topology of some even-dimensional algebraic hypersurfaces.
Topology,
18(3):217--222, 1979.
MR546791
On the fundamental group of the space of cubic surfaces.
Math. Z.,
162(1):63--67, 1978.
MR505917
A geometrical procedure for killing the middle dimensional homology groups of algebraic hypersurfaces.
Proc. Amer. Math. Soc.,
63(2):198--202, 1977.
MR0440576
Numerical characteristics of systems of lines on complete intersections.
Mat. Zametki,
13:87--96, 1973.
MR0332810