The Hodge number h^{1,1} of irregular algebraic surfaces

• Autores: Andrea Causin, Margarida Mendes Lopes , Gian Pietro Pirola
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 1, 2016, págs. 63-68
• Idioma: inglés
• DOI: 10.1007/s13348-014-0127-6
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• Resumen

  • We prove a new inequality for the Hodge number h^{1,1} of irregular complex smooth projective surfaces of general type without irrational pencils of genus \ge2. More specifically we show that if the irregularity q satisfies q=2^k+1 then h^{1,1}\ge 4q-3. This generalizes results previously known for q=3 and q=5.