EXPOSITIO

A home for expository scholarship

Expositio is a repository for expository papers in a wide range of academic disciplines, supporting preprints, revisions, optional peer review, saved papers, and overlay journals.

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What is Expositio?

A public repository for expository academic papers, with an integrated scholarly record.

Expositio is a place to read and cite expository work. Papers are published as stable, citable records, while remaining connected to later versions, editorial decisions, and related context.

Some papers are early drafts; others have been peer reviewed or formally published. Each paper remains readable on its own, while preserving the history behind it.

The result is both a reading room and a record: a place to browse by field, read papers in stable form, and follow their development over time.

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Polytopes and polyhedra

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Mathematics Convex and discrete geometry Polytopes and polyhedra
Domain: Mathematics × Branch: Convex and discrete geometry × Branch: Polytopes and polyhedra ×

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Expositio paper

On Ehrhart Theory and Positivity

Rajit Pandey

Preprint
v1

We investigate the geometric and combinatorial properties of polytope triangulations, focusing on their connections to Ehrhart positivity. The Ehrhart polynomial L(P,t) encodes the number of integer points in dilated copies of a polytope, and establishing the positivity of …

Mathematics / Convex and discrete geometry
Mathematics > Convex and discrete geometry > Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) Primary