## The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map

*Mavlyutov, Anvar R.*;

- Subject: Mathematical Physics | 14M25 | High Energy Physics - Theory | Mathematics - Algebraic Geometryarxiv: Mathematics::Algebraic Geometry | Mathematics::Commutative Algebra | Mathematics::Differential Geometry

We solved the long-standing problem of describing the cohomology ring of semiample hypersurfaces in complete simplicial toric varieties. Also, the monomial-divisor mirror map is generalized to a map between the whole Picard group and the space of infinitesimal deformati... View more

- References (15)
- Similar Research Results (9) publicationSemiample hypersurfaces in toric varieties (2000)87%publicationToric residue and combinatorial degree (2003)81%publicationAnswer to a question by Fujita on Variation of Hodge Structures (2017)81%publicationFiniteness results for 3-folds with semiample anticanonical bundle (2010)79%publicationOn weak Fano varieties with log canonical singularities (2009)78%publicationA characterization of semiampleness and contractions of relative curves (2000)77%publicationSemiample and k-ample vector bundles (2016)76%publicationSemiample invertible sheaves with semipositive continuous hermitian metrics (2015)73%publicationAbundance for varieties with many differential forms (2016)70%
- Metrics

Share - Bookmark

- Download from