Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

The irreducibility of the spaces of rational curves on del Pezzo surfaces


Author: Damiano Testa
Journal: J. Algebraic Geom. 18 (2009), 37-61
DOI: https://doi.org/10.1090/S1056-3911-08-00484-0
Published electronically: August 14, 2008
MathSciNet review: 2448278
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Abstract | References | Additional Information

Abstract: Let $ X$ be a del Pezzo surface of degree $ d \geq 2$. We prove that the spaces $ \mathcal M_{0,0} \bigl( X, \beta \bigr)$ are either empty or irreducible.


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Additional Information

Damiano Testa
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Address at time of publication: Università di Roma “La Sapienza” 00185 Roma, Italy
Email: testa@mat.uniroma1.it

DOI: https://doi.org/10.1090/S1056-3911-08-00484-0
Received by editor(s): October 6, 2006
Received by editor(s) in revised form: February 21, 2007
Published electronically: August 14, 2008

American Mathematical Society