ON THE VARIETIES OF THE SECOND ROW OF THE SPLIT FREUDENTHAL-TITS MAGIC SQUARE

Schillewaert Jeroen; Van Maldeghem Hendrik

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ON THE VARIETIES OF THE SECOND ROW OF THE SPLIT FREUDENTHAL-TITS MAGIC SQUARE

机译：ON THE VARIETIES OF THE SECOND ROW OF THE SPLIT FREUDENTHAL-TITS MAGIC SQUARE

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Our main aim is to provide a uniform geometric characterization of the analogues over arbitrary fields of the four complex Severi varieties, i.e. the quadric Veronese varieties in 5-dimensional projective spaces, the Segre varieties in 8-dimensional projective spaces, the line Grassmannians in 14-dimensional projective spaces, and the exceptional varieties of type E-6 in 26-dimensional projective space. Our theorem can be regarded as a far-reaching generalization of Mazzocca and Melone's approach to finite quadric Veronesean varieties. This approach uses combinatorial analogues of smoothness properties of complex Severi varieties as axioms.

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来源
《Annales de l'Institut Fourier》 |2017年第6期|2265-2305|共81页
作者
Schillewaert Jeroen; Van Maldeghem Hendrik;
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作者单位

Univ Auckland, Dept Math, Private Bag 92019, Auckland, New Zealand;

Univ Ghent, Dept Math, Krijgslaan 281-S25, B-9000 Ghent, Belgium;

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正文语种英语
中图分类自然科学总论;
关键词
Severi variety; Veronese variety; Segre variety; Grassmann variety; Tits-building;

ON THE VARIETIES OF THE SECOND ROW OF THE SPLIT FREUDENTHAL-TITS MAGIC SQUARE

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