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  1. Bog
  2. Geometri
  3. Algebraisk geometri
What Determines an Algebraic Variety?
Af: Max Lieblich, Janos Kollar, Martin Olsson, Will Sawin
Engelsk
Bogcover for What Determines an Algebraic Variety? af Max Lieblich, Janos Kollar, Martin Olsson, Will Sawin, 9780691246819
Specifikationer
Sprog:
Engelsk
Sider:
240
ISBN-13:
9780691246819
Indbinding:
Paperback
ISBN-10:
0691246815
Kategori:
Udg. Dato:
25 jul 2023
Størrelse i cm:
15,6 x 23,5 x 1,5
Forlag:
Serie:
Oplagsdato:
25 jul 2023
Forfatter(e):
Genre:

What Determines an Algebraic Variety?

Af: Max Lieblich, Janos Kollar, Martin Olsson, Will Sawin
Engelsk
Paperback 2023
Format:
Paperback
Bog beskrivelse

A pioneering new nonlinear approach to a fundamental question in algebraic geometry

One of the crowning achievements of nineteenth-century mathematics was the proof that the geometry of lines in space uniquely determines the Cartesian coordinates, up to a linear ambiguity. What Determines an Algebraic Variety? develops a nonlinear version of this theory, offering the first nonlinear generalization of the seminal work of Veblen and Young in a century. While the book uses cutting-edge techniques, the statements of its theorems would have been understandable a century ago; despite this, the results are totally unexpected. Putting geometry first in algebraic geometry, the book provides a new perspective on a classical theorem of fundamental importance to a wide range of fields in mathematics.

Starting with basic observations, the book shows how to read off various properties of a variety from its geometry. The results get stronger as the dimension increases. The main result then says that a normal projective variety of dimension at least 4 over a field of characteristic 0 is completely determined by its Zariski topological space. There are many open questions in dimensions 2 and 3, and in positive characteristic.

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Specifikationer
Sprog:
Engelsk
Sider:
240
ISBN-13:
9780691246819
Indbinding:
Paperback
ISBN-10:
0691246815
Kategori:
Udg. Dato:
25 jul 2023
Størrelse i cm:
15,6 x 23,5 x 1,5
Forlag:
Serie:
Oplagsdato:
25 jul 2023
Forfatter(e):
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