In this expository paper, we transcribe two letters by Guido Castelnuovo, one to Francesco Severi and the other to Beniamino Segre, and explain the contents of both, which basically focus on the quest for an algebraic proof of the equality between the analytic and the arithmetic irregularity and of the closedness of regular 1-forms on a complex, projective, algebraic surface. Such an algebraic proof has been found only in the 1980s by Deligne and Illusie.
Two Letters by Guido Castelnuovo / Ciliberto, C.; Fontanari, C.. - 53:(2023), pp. 243-270. [10.1007/978-981-19-8281-1_11]
Two Letters by Guido Castelnuovo
Ciliberto, C.;Fontanari, C.
2023-01-01
Abstract
In this expository paper, we transcribe two letters by Guido Castelnuovo, one to Francesco Severi and the other to Beniamino Segre, and explain the contents of both, which basically focus on the quest for an algebraic proof of the equality between the analytic and the arithmetic irregularity and of the closedness of regular 1-forms on a complex, projective, algebraic surface. Such an algebraic proof has been found only in the 1980s by Deligne and Illusie.File in questo prodotto:
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2206.05698.pdf
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Ciliberto-Fontanari.pdf
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