Slope inequalities for higher dimensional irregular fibrations

• Autores: Miguel Ángel Barja Yáñez
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 25, Nº 1, 2024, págs. 33-51
• Idioma: inglés
• DOI: 10.2422/2036-2145.202109_012
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• Resumen

  • We prove the equivalence between Clifford-Severi inequalities for good classes of varieties of maximal Albanese dimension and slope inequali- ties for such varieties fibred over curves. This provides a big set of new slope inequalities and characterizes the limit cases. It also gives a machinery to auto- matically obtain other higher-dimensional slope and Clifford-Severi inequalities from inequalities in low dimension. For this, we construct a continuous version of Xiao’s method for irregular fibrations.