A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces

• Autores: Ilia Itenberg , Viatcheslav Kharlamov, Eugenii Shustin
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 84, Nº 1, 2009, págs. 87-126
• Idioma: inglés
• DOI: 10.4171/cmh/153
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• Resumen

  • We define a series of relative tropical Welschinger-type invariants of real toric surfaces. In the Del Pezzo case, these invariants can be seen as real tropical analogs of relative Gromov�Witten invariants, and are subject to a recursive formula. As application we obtain new formulas for Welschinger invariants of real toric Del Pezzo surfaces.