Geoffrey Smith

activity

20142023

most citedCovering gonalities of complete intersections in positive characteristic

2 citations · 3 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AG2021

Rational linear subspaces of hypersurfaces over finite fields

María Inés de Frutos Fernández, Sumita Garai, Kelly Isham +2

Let $X \subset P^{n}$ be a hypersurface of degree $d$ defined over a finite field of characteristic $p > 0$ . We prove that if $n \geq r + (r + 1 d + r)$ , then $X$ contains…

math.AG2021

Exceptional loci in Lefschetz theory

Sam Raskin, Geoffrey Smith

Let $ϕ : X \to P^{n}$ be a morphism of varieties. Given a hyperplane $H$ in $P^{n}$ , there is a Gysin map from the compactly supported cohomology of $ϕ^{- 1} (H)$ …

math.AG2021

Very free rational curves in Fano varieties

Izzet Coskun, Geoffrey Smith

Let $X$ be a projective variety and let $C$ be a rational normal curve on $X$ . We compute the normal bundle of $C$ in a general complete intersection of hypersurfaces of sufficient…