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Dive into the research topics where Jean-Philippe Monnier is active.

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Featured researches published by Jean-Philippe Monnier.


Journal of Pure and Applied Algebra | 2002

Witt group and torsion Picard group of real curves

Jean-Philippe Monnier

Abstract In this paper, the Witt group and the torsion Picard group of a real curve are explicitely computed in terms of topological and geometrical invariants of the curve. An invariant called η is defined using the Picard group. This invariant is studied and computed in some concrete examples.


Mathematische Zeitschrift | 2017

Continuous functions on the plane regular after one blowing-up

Goulwen Fichou; Jean-Philippe Monnier; Ronan Quarez


arXiv: Algebraic Geometry | 2011

Fonctions R\'egulues

Goulwen Fichou; Johannes Huisman; Frédéric Mangolte; Jean-Philippe Monnier


Advances in Geometry | 2003

Divisors on real curves

Jean-Philippe Monnier


Mathematische Zeitschrift | 2000

Unramified cohomology and quadratic forms

Jean-Philippe Monnier


Journal of Pure and Applied Algebra | 2005

On real generalized Jacobian varieties

Jean-Philippe Monnier


arXiv: Algebraic Geometry | 2018

Substitution Property for the Ring of Continuous Rational Functions

Goulwen Fichou; Jean-Philippe Monnier; Ronan Quarez


arXiv: Algebraic Geometry | 2018

Integral closures in real algebraic geometry.

Goulwen Fichou; Ronan Quarez; Jean-Philippe Monnier


arXiv: Algebraic Geometry | 2017

Weak normalization and seminormalization in real algebraic geometry

Goulwen Fichou; Jean-Philippe Monnier; Ronan Quarez


Advances in Geometry | 2015

Very special divisors on 4-gonal real algebraic curves

Jean-Philippe Monnier

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