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19932026
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2023 · math.AGShow all

11 papers · 2 filters

math.AG2023

Horospherical 2-Fano varieties

Carolina Araujo, Ana-Maria Castravet

We classify -Fano horospherical varieties with Picard number . We also review all the known examples of -Fano manifolds and investigate the relation between the -Fano c…

math.AG2023

Local structure of the overconvergent de Rham-Witt complex

Rubén Muñoz--Bertrand

We give a general description of the structure of the relative de Rham-Witt complex on a polynomial ring, seen as an algebra over its integral part. After giving a control of the o…

math.AG2023

On multi-graded Proj schemes

Arnaud Mayeux, Simon Riche

We review the construction (due to Brenner--Schröer) of the Proj scheme associated with a ring graded by a finitely generated abelian group. This construction generalizes the well-…

math.AG2023

A survey on algebraic dilatations

Adrien Dubouloz, Arnaud Mayeux, João Pedro dos Santos

In this text, we wish to provide the reader with a short guide to recent works on the theory of dilatations in Commutative Algebra and Algebraic Geometry. These works fall naturall…

math.AG2023★ 2 cited

Effective homology and periods of complex projective hypersurfaces

Pierre Lairez, Eric Pichon-Pharabod, Pierre Vanhove

We introduce a new algorithm for computing the periods of a smooth complex projective hypersurface. The algorithm intertwine with a new method for computing an explicit basis of th…

math.AG2023

Constancy of the Hilbert-Samuel function

Vincent Cossart, Olivier Piltant, Bernd Schober

The Hilbert-Samuel function and the multiplicity function are fundamental locally defined invariants on Noetherian schemes. They have been playing an important role in desingulariz…