Embeddings of $${\mathbb{C}^*}$$ -surfaces into weighted projective spaces
نویسندگان
چکیده
منابع مشابه
Embeddings of Real Projective Spaces
The question of finding the smallest Euclidean space in which real projective space P n can be (differentiably) embedded was the subject of intense investigation during the 1960s and 1970s. The purpose of this paper is to survey the status of the question, and add a little bit to our knowledge by proving one new family of embeddings, using old methods of obstruction theory. Our new result is gi...
متن کاملGeneralized Veronesean embeddings of projective spaces
We classify all embeddings θ : PG(n, q) −→ PG(d, q), with d ≥ n(n+3) 2 , such that θ maps the set of points of each line to a set of coplanar points and such that the image of θ generates PG(d, q). It turns out that d = 1 2n(n+3) and all examples are related to the quadric Veronesean of PG(n, q) in PG(d, q) and its projections from subspaces of PG(d, q) generated by sub-Veroneseans (the point s...
متن کاملGeneralized lax Veronesean embeddings of projective spaces
We classify all embeddings θ : PG(n,K) −→ PG(d,F), with d ≥ n(n+3) 2 and K,F skew fields with |K| > 2, such that θ maps the set of points of each line of PG(n,K) to a set of coplanar points of PG(d,F), and such that the image of θ generates PG(d,F). It turns out that d = 12n(n+ 3) and all examples “essentially” arise from a similar “full” embedding θ′ : PG(n,K) −→ PG(d,K) by identifying K with ...
متن کاملFourth Veronese Embeddings of Projective Spaces
We prove that fourth Veronese embeddings of projective spaces satisfies property N9. This settle the Ottaviani-Paoletti conjecture for fourth Veronese embeddings.
متن کاملGeodesics on Weighted Projective Spaces
We study the inverse spectral problem for weighted projective spaces using wave-trace methods. We show that in many cases one can “hear” the weights of a weighted projective space.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2009
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-009-0315-y