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Featured Publication

Pearls from a Lost City: The Lvov School of Mathematics
Roman Duda, University of Wrocław, Poland

This chronicle will appeal to anyone seeking a cultural and institutional overview of key aspects of twentieth-century Polish mathematics.

Bulletin of the AMS

Bulletin of the AMS A Hasse principle for quadratic forms over function fields
( view abstract )
A Hasse principle for quadratic forms over function fields
We describe the classical Hasse principle for the existence of nontrivial zeros for quadratic forms over number fields, namely, local zeros over all completions at places of the number field imply nontrivial zeros over the number field itself. We then go on to explain more general questions related to the Hasse principle for nontrivial zeros of quadratic forms over function fields, with reference to a set of discrete valuations of the field. This question has interesting consequences over function fields of $ p$-adic curves. We also record some open questions related to the isotropy of quadratic forms over function fields of curves over number fields.


Browse the archive 1891 - 2014.

Research Journals Spotlight
 
JAMS
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MCOM
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PROC
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BTran
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TRAN
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BProc
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ECGD
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ERT
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