3 citations · 3 across the 5 of their papers we have counts for
5 papers
Multiplier ideals in algebraic geometry
Samuel Grushevsky
In this expository introductory text we discuss the multiplier ideals in algebraic geometry. We state Kawamata-Viehweg's and Nadel's vanishing theorems, give a proof (following Ein…
Cubic equations for the hyperelliptic locus
Samuel Grushevsky
We discuss the conjecture of Buchstaber and Krichever that their multi-dimensional vector addition formula for Baker-Akhiezer functions characterizes Jacobians among principally po…
Intersection theory of toroidal compactifications of A_4
Cord Erdenberger, Samuel Grushevsky, Klaus Hulek
We determine the intersection theory on the Igusa compactification and the second Voronoi compactification of A_4.
Theta functions of arbitrary order and their derivatives
Samuel Grushevsky, Riccardo Salvati Manni
In this paper we establish the relationships between theta functions of arbitrary order and their derivatives. We generalize our previous work math.AG/0310085 and prove that for an…
The degree of the Jacobian locus and the Schottky problem
Samuel Grushevsky
We show that the degree of the images of the moduli space of (principally polarized) abelian varieties A_g and of the moduli space of curves M_g in the projective space under the t…