Abstract
Let S⊂ℙ6 be the surface cut out by the intersection of 9 quadrics
This is the A1 del Pezzo surface of degree 6 that was introduced in (2.21). Any line in ℙ6 is defined by the intersection of 5 hyperplanes. It is not hard to see that the equations
all define lines contained in S. Table 2.6 ensures that these are the only lines contained in S. We set U to be the open subset of S obtained by deleting the lines.
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© 2009 Birkhäuser Verlag AG
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Browning, T.D. (2009). A1 del Pezzo surface of degree 6. In: Quantitative Arithmetic of Projective Varieties. Progress in Mathematics, vol 277. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0129-0_5
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DOI: https://doi.org/10.1007/978-3-0346-0129-0_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0128-3
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