Scholar’s Advanced Technological System

“Sneeze! ”

Zhongshan International's villa, sitting in its own study, was holding a pen and writing something on the ark at the desk, sneezing without warning.

“Who's thinking about me...”

Sucked his nose and muttered to himself, the ark continued to look at the draft paper in front of him and the ballpoint pen on his hand lit gently on the table.

“It's a little difficult. ”

[… When n is greater than 2, the two n dimensions fully intersect X ^ n (d), X ^ n (d ‘) differentially homologous embryos, when and only when their Euler number, full number and Pontrjagin class are equal.

Strictly speaking, this is not a question of composite analysis, nor is it a question of partial differential equations in the traditional sense, but rather an interesting classification of smooth currents.

This statement may be somewhat insistent, but in fact, in differential topology, it is a relatively popular research direction, mainly studying the immutable nature of differential fluids under differential homoembryonic mapping.

There is some trouble, however, that although the ark has a lot of research on both differential flux and topology, there is not much research on the mathematical branch of differential topology.

It can even be said that this is a completely new area for him.

But it's no wonder that this happens. After all, Professor Chen Yang studied Hodge's speculation, and his Lehman speculation was originally two very different questions.

It was only because the hyperelliptical curve analysis could be improved to study the extensions of the Cosy-Lehman equation and the Lehman surface that inspired his association with the issue…

“It's really hard for me, Fat Tiger... why don't you just leave it? ”

After a while of reflection, the ark shook its head and eventually drove this uncontroversial thought out of its brain.

Without saying who gets this result first, even if he doesn't pretend to do it, it's not his style to give up in the face of the dilemma.

Even though differential topology is not his research direction, with his understanding of differential flux and topology theory, there is nothing much wrong with quickly familiarizing yourself with the research points in this field.

Even more so now that Lehman's speculative research is in bottlenecks, instead of dying on an impenetrable path, try to look up and look around with no other noteworthy clues.

If a bridge can be built between topological and compound analysis problems, perhaps his hyperelliptical curve analysis can play a surprising role in the study of the Lehman zeta function...

“Em, get me a cup of coffee, no sugar! ”

Em: [Master, instant coffee doesn't have to be added sugar? (° - ° ")]

“... nagging, help me make coffee. ”

All right, all right, master! ( ∀ *)

The drone floated off the shelf and flew outside the study.

Leaving aside his thoughts, the ark concentrated all its attention on the draft paper in front of him.

The top of his thumb opened the clipped cap, and he wrote the first line of text on the paper with a pen.

[Makes f1, …, fr a sequential polynomial about the complex coefficients of variables z0, …, zn + r. This set of polynomials defines a complex algebraic cluster X in the reflection space CP ^ (n + r)...]

[At this time, X is called a complex complete intersection. If X has a complex number of n, when X is a smooth stream, it is called a smooth complex complete intersection. At this time, X is a smooth closed current of 2n dimensions...]

The first step has been taken.

The light of excitement flashes slightly in the eyes of the ark.

Although the feeling was weak, he had a clear feeling that he had found the right path to the end of the labyrinth.

“Use the smooth closed flow form of 2n dimension as the entry point to establish a correlation on the reflectance space...”

Once the mind opens a breakthrough, the inspiration comes out like a flood, and it can't be stopped.

A line of note-like formulas tumbled under his pen like a running river, and soon the entire draft was filled with dense numbness of algorithms and numbers.

Time goes by and more and more paper is written on the table.

Em, lying on the shelf, stared so quietly beside her. Since the Ark forbade it to open the camera randomly, only this camera on the drone has been free to use it.

Though it hurts a little to look at the master so hard, this creative work alone can't really help.

Outside the window the sky dimmed.

The canoe lying in front of the table had no action other than calculation, except to reach out and turn on the lamp at the corner of the table.

However, the situation does not appear to be moving in a more optimistic direction.

As the sky outside the window dimmed, not only did the smooth pen gradually slow down, but a sweat bead gradually seeped out of the forehead of the ship.

The situation did not seem as optimistic as he had imagined.

The more he studied the issue in depth, the more he discovered how complex the labyrinth hidden behind it was.

“Ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh! ”

I don't know how many times I walked into a dead end. Finally, the impatient ark instantly turned into a grumpy brother. I rubbed half of the draft paper into a bunch, and I fell into the paper basket next to it.

“That's not right! If the proposition is established, I can't think of it for so long...”

The quicker the ball pen in your hand, the faster the frown-locked ark stares dead at the original question, lips gently open and thinking.

“Strangely, however, bias does not prove the proposition wrong… no matter how many sets of parameters you bring in, you get a result that matches the proposition. ”

With a long breath, the ark pinched a pen that spinned fast, opened the computer placed at the corner of the table, logged into the literature database, and entered a few lines of keywords.

A row of retrieved papers quickly appeared before him.

After selecting several labels, sorted by number of citations, the Ark quickly picked out several top-ranked papers.

“… it is impossible that such an interesting question has not been studied. ”

“At least a similar one should be found. ”

Softly in his mouth, his eyes suddenly lit up and he caught an interesting line of headlines from a mysterious database.

The author of the paper, Professor Kreck, is a well-known bull in the field of differential equations and topology, and he was cited a little more frequently in a paper he published in 1999 in the Journal of Mathematics.

According to the description in its abstract section, the paper focused on improving the Surgery theory and translating the problem of fluid classification into the computational problem of certain marginal groups.

A glimmer of interest gradually appeared in his eyes, and the ark quickly downloaded the paper and followed the line of the body of the paper.

About a dozen minutes later, when he took a closer look at the paper, the intriguing glimmer in his eyes suddenly became exciting.

“That's it! ”

“I told you, it's impossible that such an interesting question has not been studied at all before… at least someone must have studied similar topics! ”

“If I can translate the problem of streamline classification into the calculation of certain edge groups... Mom, this is the last piece of puzzle I'm missing! ”

He stood up from his chair excitedly and walked to the canoe next to the waste basket, quickly turning from it the piece of paper he had rubbed into a bunch.

“Luckily I just rubbed a little wrinkle and didn't rip it off! ”

Speaking to himself, the ark pinched the draft paper and returned to sit on the chair, laying it on the table and rekindling the fiery spirit of the bear in his eyes.

“Here we go! ”

Just say it. There was another murmuring stroke in the study.

And this time, it didn't stop until dawn...