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5 papers · 2 filters
Matroids, motives and conjecture of Kontsevich
Prakash Belkale, Patrick Brosnan
Let G be a finite connected graph. The Kirchhoff polynomial of G is a certain homogeneous polynomial whose degree is equal to the first betti number of G. These polynomials appear…
Deformations of the trivial line bundle and vanishing theorems
Herbert Clemens, Christopher Hacon
This paper reproves a general form of the Green-Lazarsfeld 'generic vanishing' theorem and more recent strengthenings, as well as giving some new applications.
New recursions for genus-zero Gromov-Witten invariants
Aaron Bertram, Holger P. Kley
New relations among the genus-zero Gromov-Witten invariants of a complex projective manifold are exhibited. When the cohomology of is generated by divisor classes and class…
The Complex Hyperbolic Geometry of the Moduli Space of Cubic Surfaces
Daniel Allcock, James A. Carlson, Domingo Toledo
Recall that the moduli space of smooth (that is, stable) cubic curves is isomorphic to the quotient of the upper half plane by the group of fractional linear transformations with i…
Pluricanonical maps of varieties of maximal Albanese dimension
Jungkai A. Chen, Christopher D. Hacon
Let be a smooth complex projective algebraic variety of maximal Albanese dimension. We give a characterization of in terms of the set $:=\{P\in {\text{\rm…