Add to ORKGAbstract. In [10] it is proved that any de Rham cohomology class on a nonsingular quasiprojective complex algebraic variety is realized by a real algebraic differential form and quoted that it is not known whether the same holds for real algebraic varieties. In this paper, we prove that certain de Rham cohomology classes on a real algebraic variety are realized by real algebraic differential forms. 1. Introduction an
We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-a...
AbstractIn [A.M. Vinogradov, Some homological systems associated with the differential calculus in c...
Abstract. After works by Katz, Monsky, and Adolphson-Sperber, a compar-ison theorem between relative...
AbstractWe show that every de Rham cohomology class on a nonsingular quasiprojective complex algebra...
AMS-LaTeX with amsart.sty. 15 pagesInternational audienceWe show that, given a projective regular fu...
This is the revised second edition of the well-received book by the first two authors. It offers a a...
This is the revised second edition of the well-received book by the first two authors. It offers a s...
Real-valued differential forms on Berkovich analytic spaces were introduced by Chambert-Loir and Duc...
Abstract. The de Rham cohomology is a cohomology based on differential forms on a smooth manifold. I...
It is well known that the real cohomology of a compact Riemannian manifold M is isomorphic to the al...
We discuss in some detail the algebraic notion of De Rham cohomology with compact supports for singu...
Abstract. Let X be a compact nonsingular real algebraic variety and let Y be either the blowup of Pn...
In the first part of the thesis we consider an abelian variety A with totally degenerate reduction o...
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ...
AbstractIn the model F of synthetic differential geometry consisting of sheaves (with respect to ope...
We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-a...
AbstractIn [A.M. Vinogradov, Some homological systems associated with the differential calculus in c...
Abstract. After works by Katz, Monsky, and Adolphson-Sperber, a compar-ison theorem between relative...
AbstractWe show that every de Rham cohomology class on a nonsingular quasiprojective complex algebra...
AMS-LaTeX with amsart.sty. 15 pagesInternational audienceWe show that, given a projective regular fu...
This is the revised second edition of the well-received book by the first two authors. It offers a a...
This is the revised second edition of the well-received book by the first two authors. It offers a s...
Real-valued differential forms on Berkovich analytic spaces were introduced by Chambert-Loir and Duc...
Abstract. The de Rham cohomology is a cohomology based on differential forms on a smooth manifold. I...
It is well known that the real cohomology of a compact Riemannian manifold M is isomorphic to the al...
We discuss in some detail the algebraic notion of De Rham cohomology with compact supports for singu...
Abstract. Let X be a compact nonsingular real algebraic variety and let Y be either the blowup of Pn...
In the first part of the thesis we consider an abelian variety A with totally degenerate reduction o...
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ...
AbstractIn the model F of synthetic differential geometry consisting of sheaves (with respect to ope...
We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-a...
AbstractIn [A.M. Vinogradov, Some homological systems associated with the differential calculus in c...
Abstract. After works by Katz, Monsky, and Adolphson-Sperber, a compar-ison theorem between relative...
