منابع مشابه
Scrolls and Hyperbolicity
Using degeneration to scrolls, we give an easy proof of non–existence of curves of low genera on general surfaces in P of degree d ≥ 5. We show, along the same lines, boundedness of families of curves of small enough genera on general surfaces in P. We also show that there exist Kobayashi hyperbolic surfaces in P of degree d = 7 (a result so far unknown), and give a new construction of such sur...
متن کاملThe Herculaneum Scrolls
Introduction In 1752 antiquity hunters were tunneling down into a large villa on a hill overlooking Herculaneum and the Bay of Naples when they made the discovery of manuscripts. This villa probably once belonged to the wealthy Roman aristocrat Lucius Calpurnius Piso Caesoninus, a well-known Roman politician, who was a patron of Epicurean philosophers. The villa was lost from history in A.D. 79...
متن کاملMosaics of Japanese Picture Scrolls
We propose scveral new techniques for mosaic-ing images of Japanese picture scrolls. Previous methods cannot accurately stitch these images, because they are too wide. To solve this problem , we propose three techniques that can stitch without any seams. The first technique adjusts its height of each image in advance. The second technique uses planar projective transformation among three images...
متن کاملDivisors on Rational Normal Scrolls
Let A be the homogeneous coordinate ring of a rational normal scroll. The ring A is equal to the quotient of a polynomial ring S by the ideal generated by the two by two minors of a scroll matrix ψ with two rows and l catalecticant blocks. The class group of A is cyclic, and is infinite provided l is at least two. One generator of the class group is [J], where J is the ideal of A generated by t...
متن کاملNumbers for reducible cubic scrolls.
We show how to compute the number of reducible cubic scrolls of codimension 2 in Pn incident to the appropriate number of linear spaces.
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ژورنال
عنوان ژورنال: Acta Mathematica Vietnamica
سال: 2018
ISSN: 0251-4184,2315-4144
DOI: 10.1007/s40306-018-0296-6