4 problems

Matching

Local-to-global complete-intersection conjecture for varieties covered by lines
About 14 years old
Let $X\subset {\mathbb P}^N$ be covered by lines, let $x\in X$ be a general point, and let $\mathcal L_x\subset {\mathbb P}^{n-1}$ be the variety of lines through $x$ . Local-to-glo…
opencomplete-intersections projective-geometry varieties-covered-by-lines
09
Local Hartshorne conjecture for varieties covered by lines
About 14 years old
Let $X\subset {\mathbb P}^N$ be covered by lines, let $x\in X$ be a general point, and let $\mathcal L_x\subset {\mathbb P}^{n-1}$ be the variety of lines through $x$ . Let $T$ be t…
opencomplete-intersections projective-geometry varieties-covered-by-lines
07
The local complete-intersection conjecture for varieties of lines
About 17 years old
Let $X\subset\mathbb{P}^N$ be a smooth irreducible non-degenerate variety of dimension $n$ covered by lines. For a general point $x\in X$ , let…
opencomplete-intersections projective-geometry varieties-covered-by-lines
07
Hartshorne conjecture for varieties of lines
At least 16 years old
Let $X\subset\mathbb{P}^N$ be a smooth irreducible non-degenerate variety of dimension $n$ covered by lines. For a general point $x\in X$ , let…
opencomplete-intersections hartshorne-conjecture varieties-covered-by-lines
08

Local-to-global complete-intersection conjecture for varieties covered by lines