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From the 2 of 6 linked papers with an AI index.

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6 papers

math.AG2026

Algebraic cycles and Fano threefolds of genus 7

Robert Laterveer

Let be a very general prime Fano threefold of genus 7. We exhibit an explicit 2-cycle on that is Abel-Jacobi trivial but non-torsion in the Chow group $A^4(Y\times…

math.CO2026

Weakened Gallai-Ramsey Numbers for Books

Mark Budden, Adam Gregory

For and any graph , the weakened Gallai-Ramsey number is defined to be the least such that every Gallai -coloring of the edges of $K_…

math.CT2026

Directed paths and Moore flows

Philippe Gaucher

The paper introduces a tame realization of a precubical set as a multipointed d‑space, identifies its execution paths with non‑constant tame directed paths, and constructs a functo…

math.CO2026

The chain replacement of a poset flow

Philippe Gaucher

The paper defines the chain replacement of a poset flow, converting finite posets into q‑cofibrant flows using simplicial nerves, and proves that pushouts along these replacements…

math.CT2026

Branching spaces of transverse sets

Philippe Gaucher

A c-direct category is a small category equipped with an ordinal degree function such that every morphism is level or degree-raising. Every c-direct category is c-Reedy. The c-Reed…

math.AT2026

Regular clock maps and trace spaces

Philippe Gaucher

A regular clock map is a regular map of directed spaces from a saturated directed space to the directed circle. We prove that the category of regular clock maps is a small-orthogon…