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Courbes semi-stables et groupe fondamental en geometrie algebrique - Luminy, Decembre 1998 (French, English, Hardcover, 2000 ed.)
Loot Price: R4,261
Discovery Miles 42 610
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Courbes semi-stables et groupe fondamental en geometrie algebrique - Luminy, Decembre 1998 (French, English, Hardcover, 2000 ed.)
Series: Progress in Mathematics, 187
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Total price: R4,281
Discovery Miles: 42 810
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This volume contains detailed expositions of talks given during an
instructional conference held at Luminy in December 1998, which was
devoted to classical and recent results concerning the fundamental
group of algebraic curves, especially over finite and local fields.
The scientific guidance of the conference was supplied by M.
Raynaud, a leading expert in the field. The purpose of this volume
is twofold. Firstly, it gives an account of basic results
concerning rigid geometry, stable curves, and algebraic fundamental
groups, in a form which should make them largely accessible to
graduate students mastering a basic course in modern algebraic
geometry. However classic, most of this material has not appeared
in book form yet. In particular, the semi-stable reduction theorem
for curves is covered with special care, including various detailed
proofs. Secondly, it presents self-contained expositions of
important recent developments, including the work of Tamagawa on
Grothendieck's anabelian conjecture for curves over finite fields,
and the solution by Raynaud and Harbater of Abhyankar's conjecture
about coverings of affine curves in positive characteristic. These
expositions should be accessible to research students who have read
the previous chapters. They are also aimed at experts in number
theory and algebraic geometry who want to read a streamlined
account of these recent advances.
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