1 citations · 2 across the 7 of their papers we have counts for
8 papers
Sheaf stable pairs on projective surfaces and birational geometry
Caucher Birkar, Jia Jia, Artan Sheshmani +1
We study moduli space of higher rank marginally stable pairs (E,s:= (s_1,..., s_r)) consisting of torsion free coherent sheaf E of rank r and r sections (s_1,..., s_r) on a smooth…
Characterization of products of projective spaces via nef complexity
Joshua Enwright, Stefano Filipazzi, Yoshinori Gongyo +4
We define the nef complexity of a projective variety . This invariant compares with the sum of the coefficients of nef partitions of . We prove that the nef…
The integral chow ring of
Joseph Helfer, Eric Jovinelly, Eric Larson +2
This paper computes the integral Chow ring of the moduli space of stable genus 2 curves of compact type. This is done by excising boundary strata from one-by-…
Exceptional Fano varieties with small minimal log discrepancy
Louis Esser, Jihao Liu, Chengxi Wang
We construct exceptional Fano varieties with the smallest known minimal log discrepancies in all dimensions. These varieties are well-formed hypersurfaces in weighted projective sp…
Fano varieties with conjecturally largest Fano index
Chengxi Wang
For Fano varieties of various singularities such as canonical and terminal, we construct examples with large Fano index. By low-dimensional evidence, we conjecture that our example…
Bott vanishing for elliptic surfaces
Chengxi Wang
We explore Bott Vanishing for elliptic surfaces over . We show that Bott Vanishing is singnificantly affected by the geometric properties that whether there exists ce…
Positivity determines the quantum cohomology of Grassmannians
Anders S. Buch, Chengxi Wang
We prove that if X is a Grassmannian of type A, then the Schubert basis of the (small) quantum cohomology ring QH(X) is the only homogeneous deformation of the Schubert basis of th…
Finitistic dimension conjecture and radical-power extensions
Chengxi Wang, Changchang Xi
The finitistic dimension conjecture asserts that any finite-dimensional algebra over a field should have finite finitistic dimension. Recently, this conjecture is reduced to studyi…