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- W88180449 abstract "Let f : X → B be a fibre space of curves over a base curve B; write F = f−1(P ) for a fibre of f , and set g = genusF ≥ 2 and b = genusB. For genus 2 pencils, the geometric methods of Horikawa and Xiao Gang are very powerful and practical, and my aim is to try to generalise these to genus 3, 4, 5,. . . My problems here are concerned with the study of the relative canonical algebra R(X/B) = R(f) of f , and how to use it to get geographical information on X. First the definitions: write KX/B = KX −fKB, and set f∗(K X/B) = Rn for n ≥ 0." @default.
- W88180449 created "2016-06-24" @default.
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- W88180449 date "2003-01-01" @default.
- W88180449 modified "2023-09-27" @default.
- W88180449 title "Problems on pencils of small genus" @default.
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