Cremona transformations and some related algebras

By Aron Simis. 2004

66 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/698600a0602b1d470ff914dc9e45c58821fbdeed

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Seyed Hamid Hassanzadeh
2. A. Doria
3. Aron Simis
4. C. Ciliberto
5. Francesco Russo
6. Igor Dolgachev

In Computational Theory and Mathematics

1. Francesco Russo
2. Seyed Hamid Hassanzadeh
3. A. Doria
4. C. Ciliberto
5. Aron Simis
6. Igor Dolgachev
7. Luca Chiantini

In Geometry and Topology

1. Francesco Russo
2. Seyed Hamid Hassanzadeh
3. A. Doria
4. C. Ciliberto
5. Aron Simis
6. Luca Chiantini
7. Giorgio Ottaviani
8. Igor Dolgachev

Citations in the corpus

• Plane Cremona maps: saturation and regularity of the base ideal (2011, unknown): “, [4],[20], [21], [22], [25], [26], [27]).”
• Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian (2007, background): “1 and also [37,47] for the ubiquitous role of Hilbert–Burch ideals in the theory of Cremona transformations.”
• A characteristic-free criterion of birationality (2010, methodology): “Still more recently, the present third author pushed the method further to the study of general rational maps between two integral projective schemes in arbitrary characteristic by an extended ideal-theoretic method emphasizing the role of the Rees algebra associated to the ideal generated by f [9].”