Abstract
Let \( F(X_0,X_1,\ldots ,X_n)=\sum _{i_h\geq 0,\;i_0+\cdots +i_n=d} a_{i_0i_1\ldots i_n}X_0^{i_0}X_1^{i_1}\cdots X_n^{i_n}\in { }_{\mathrm {h}}K[X_0,X_1,\dotsc , X_n]_d^*.\) As observed in Example 1.33-(2), \({ }_{\mathrm {h}}K[X_0,X_1,\dotsc , X_n]_d\) is a K-vector space.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Beltrametti, M.C., Carletti, E., Gallarati, D., Monti Bragadin, G.: Lectures on Curves, Surfaces and Projective Varieties, 2nd corrected printing. European Math. Soc, Helsinki (2009)
Fortuna, E., Frigerio, R., Pardini, R.: Projective Geometry. Solved Problems and Theory Review. Springer, Berlin (2016)
Mumford, D.: The Red Book of Varieties and Schemes. Lecture Notes in Math. Springer, Berlin (1988)
Author information
Authors and Affiliations
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Bădescu, L., Carletti, E. (2024). Projective Hyperquadrics. In: Lectures on Geometry. UNITEXT(), vol 158. Springer, Cham. https://doi.org/10.1007/978-3-031-51414-2_10
Download citation
DOI: https://doi.org/10.1007/978-3-031-51414-2_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-51413-5
Online ISBN: 978-3-031-51414-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)