-д хадгалсан:
| Үндсэн зохиолч: | |
|---|---|
| Формат: | Preprint |
| Хэвлэсэн: |
2023
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| Нөхцлүүд: | |
| Онлайн хандалт: | https://arxiv.org/abs/2302.00913 |
| Шошгууд: |
Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
|
Агуулга:
- In this paper, we present a formula for the degree of the 3-secant variety of a nonsingular projective variety embedded by a 5-very ample line bundle. The formula is provided in terms of Segre classes of the tangent bundle of a given variety. We use the generalized version of double point formula to reduce the calculation into the case of the 2-secant variety. Due to the singularity of the 2-secant variety, we use secant bundle as a nonsingular birational model and compute multiplications of desired algebraic cycles.