Jonathan R. Love

activity

20192024

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4 papers · 1 filter

math.AG2024

Local and local-to-global Principles for zero-cycles on geometrically Kummer $K 3$ surfaces

Evangelia Gazaki, Jonathan Love

Let $X$ be a $K 3$ surface over a $p$ -adic field $k$ such that for some abelian surface $A$ isogenous to a product of two elliptic curves, there is an isomorphism over the algebraic…

math.AG2023

Hyperelliptic curves mapping to abelian varieties and applications to Beilinson's conjecture for zero-cycles

Evangelia Gazaki, Jonathan R. Love

Let $A$ be an abelian surface over an algebraically closed field $k$ with an embedding $k ↪ C$ . When $A$ is isogenous to a product of ell…

math.AG2020

An arithmetic variant of Raynaud's theorem

Jonathan Love, Libby Taylor

It is well known that for a regular semistable curve $X$ over a DVR with algebraically closed residue field, the spanning trees of the dual graph of the special fiber of…

math.AG2020

Rational Equivalences on Products of Elliptic Curves in a Family

Jonathan Love

Given a pair of elliptic curves $E_{1}, E_{2}$ over a field $k$ , we have a natural map $CH^{1} (E_{1})_{0} \otimes CH^{1} (E_{2})_{0} \to CH^{2} (E_{1} \times E_{2})$ , and a conjecture due t…

Local and local-to-global Principles for zero-cycles on geometrically Kummer K3 surfaces

Hyperelliptic curves mapping to abelian varieties and applications to Beilinson's conjecture for zero-cycles

An arithmetic variant of Raynaud's theorem

Rational Equivalences on Products of Elliptic Curves in a Family

Local and local-to-global Principles for zero-cycles on geometrically Kummer $K 3$ surfaces