5 citations · 20 across the 9 of their papers we have counts for
6 papers · 1 filter
Brill-Noether general curves on Knutsen K3 surfaces
Maxim Arap, Nicholas Marshburn
This article classifies Knutsen K3 surfaces all of whose hyperplane sections are irreducible and reduced. As an application, this gives infinite families of K3 surfaces of Picard n…
On algebraic equivalences among the 27 Abel-Prym curves on a generic abelian 5-fold
Maxim Arap, Robert Varley
This article shows that on a generic principally polarized abelian variety of dimension five the -vector space of algebraic equivalences among the 27 Abel-Prym curves h…
On the existence of certain weak Fano threefolds of Picard number two
Maxim Arap, Joseph Cutrone, Nicholas Marshburn
This article settles the question of existence of smooth weak Fano threefolds of Picard number two with small anti-canonical map and previously classified numerical invariants obta…
Extended Torelli map to the Igusa blowup in genus 6, 7, and 8
Valery Alexeev, Ryan Livingston, Joseph Tenini +7
It was conjectured in \cite{Namikawa_ExtendedTorelli} that the Torelli map associating to a curve its jacobian extends to a regular map from the Deligne-Mumford moduli…
level 1 conformal blocks divisors on
Maxim Arap, Angela Gibney, James Stankewicz +1
We study a family of semiample divisors on the moduli space that come from the theory of conformal blocks for the Lie algebra and level 1. The divisors we st…
Algebraic cycles on Prym varieties
Maxim Arap
This article proposes a generalization of tautological rings introduced by Beauville and Moonen for Jacobians. The main result is that, under certain hypotheses, the special subvar…