The Picard group of the moduli of smooth complete intersections of two quadrics

Abstract

We study the moduli space of smooth complete intersections of two quadrics in ${\mathbb{P}}^n$ by relating it to the geometry of the singular members of the corresponding pencils. Giving an alternative presentation for the moduli space of complete intersections, we compute the Picard group for all $n\ge 3$.

27 pages

References in corpus (2)

• Stable log surfaces, admissible covers, and canonical curves of genus 4
• The integral Chow ring of the stack of hyperelliptic curves of even genus