115 citations · 117 across the 12 of their papers we have counts for
12 papers
Hyperelliptic genus 4 curves on abelian surfaces
Paweł Borówka, G. K. Sankaran
We study smooth curves on abelian surfaces, especially for genus 4, when the complementary subvariety in the Jacobian is also a surface. We show that up to translation there is exa…
Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation
F. Malaspina, G. K. Sankaran
Weighted Castelnuovo-Mumford Regularity and Weighted Global GenerationWe introduce and study a notion of Castelnuovo-Mumford regularity suitable for weighted projective spaces.
On some lattice computations related to moduli problems
A. Peterson, G. K. Sankaran
We show how to solve computationally a combinatorial problem about the possible number of roots orthogonal to a vector of given length in . We show that the moduli space of K3…
Moduli spaces of polarised symplectic O'Grady varieties and Borcherds products
V. Gritsenko, K. Hulek, G. K. Sankaran
We study moduli spaces of O'Grady's ten-dimensional irreducible symplectic manifolds. These moduli spaces are covers of modular varieties of dimension 21, namely quotients of hermi…
Abelianisation of orthogonal groups and the fundamental group of modular varieties
V. Gritsenko, K. Hulek, G. K. Sankaran
We study the commutator subgroup of integral orthogonal groups belonging to indefinite quadratic forms. We show that the index of this commutator is 2 for many groups that occur in…
Moduli spaces of irreducible symplectic manifolds
V. Gritsenko, K. Hulek, G. K. Sankaran
We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the modu…